Algebra, Algebraic Geometry & Combinatorics
Research in pure mathematics includes work in algebra, algebraic geometry and combinatorics. Often, such research crossses boundaries as is the case for many of the faculty members in our department.
Researcher Advisors for Algebra, Algebraic Geometry & Combinatorics


Peter A. Linnell
Professor Linnell conducts research in pure mathematics, especially algebra, with a little analysis and topology.


Nick Loehr
Professor Loehr conducts research in algebraic combinatorics. His work focuses on the combinatorics of symmetric functions, quasisymmetric functions, lattice paths, and tableaulike structures. These objects encode remarkable algebraic information about group representations, polynomial invariants, and Lie algebras.


Gretchen Matthews
Professor Matthews' research is in applications of algebraic geometry to data storage, protection, and security, especially coding theory and cryptography.



Leonardo Mihalcea
Associate Professor Mihalcea studies classical and quantum intersection rings for flag manifolds and related algebraic varieties, an area combining techniques from Algebraic Geometry, Combinatorics, and Geometric Representation Theory.


Daniel Orr
Daniel Orr conducts research in representation theory and algebraic combinatorics.


Eyvindur Ari Palsson
Assistant Professor Palsson conducts research in harmonic analysis, geometric measure theory, combinatorics, number theory and partial differential equations.



Mark Shimozono
Professor Shimozono works on combinatorial problems arising in enumerative algebraic geometry and representation theory.


Wenbo Sun
Assistant Professor Wenbo Sun works on the problems lying at the interaction of ergodic theory, combinatorics, and number theory.

Researchers of Algebra, Algebraic Geometry & Combinatorics


Eric Ufferman
Collegiate Assistant Professor Ufferman teaches classes in both Computational Modeling and Data Analytics and Discrete Mathematics.


Joseph Wells
Dr. Wells thinks about most things related to complex hyperbolic geometry. In particular, he is interested in (non)arithmetic subgroups of SU(n,1) and, lately, spherical CRuniformizations of 3manifolds.


Palanivel Manoharan
Research interest in Geometry of Manifolds and geometry of quantum states.



Rahul Singh
Dr. Singh's research lies at the intersection of algebraic geometry and combinatorics.
